Consider the polynomials given below.
P(x) =x^4+3x^3+2x^2-x+2
Q(x) = (x^3+2x^2+3)(x^2-2)
Determine the operation that results in the simplified expression below x^5+x^4-5x^3-3x^2+x-8

Three children each had the same amount of money in their savings account. one of the children withdrew three quarters of her moneyand spent it all on a $100 sports jersey. what was the total amount of money originally in the accounts?

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Use a standard normal table to determine the probability. give your answer as a decimal to four decimal places. −1.5< < 1.5)